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Adiabatic connection models (ACMs), which interpolate between the limits of weak and strong interaction, are powerful tools to build accurate exchange-correlation functionals. If the exact weak-interaction expansion from second-order…

化学物理 · 物理学 2022-09-08 S. Śmiga , F. Della Sala , P. Gori-Giorgi , E. Fabiano

We investigate the construction of approximated exchange-correlation functionals by interpolating locally along the adiabatic connection between the weak- and the strong-coupling regimes, focussing on the effect of using approximate…

化学物理 · 物理学 2017-04-05 Stefan Vuckovic , Lucas O. Wagner , Andrew M. Teale , Paola Gori-Giorgi

Approximate exchange-correlation functionals built by modeling in a non-linear way the adiabatic connection (AC) integrand of density functional theory have many attractive features, being virtually parameters-free and satisfying different…

化学物理 · 物理学 2018-05-25 S. Vuckovic , P. Gori-Giorgi , F. Della Sala , E. Fabiano

Interpolating the exchange-correlation energy along the density-fixed adiabatic connection of density functional theory is a promising way to build approximations that are not biased towards the weakly correlated regime. These…

强关联电子 · 物理学 2020-12-10 Derk P. Kooi , Paola Gori-Giorgi

The construction of density-functional approximations is explored by modeling the adiabatic connection em locally, using energy densities defined in terms of the electrostatic potential of the exchange-correlation hole. These local models…

化学物理 · 物理学 2016-05-04 Stefan Vuckovic , Tom Irons , Andreas Savin , Andrew M. Teale , Paola Gori-Giorgi

We investigate the adiabatic approximation to the exact-exchange kernel for calculating correlation energies within the adiabatic-connection fluctuation-dissipation framework of time-dependent density functional theory. A numerical study is…

化学物理 · 物理学 2023-05-12 Maria Hellgren , Lucas Baguet

A multiconfigurational adiabatic connection (AC) formalism is an attractive approach to computing dynamic correlation within CASSCF and DMRG models. Practical realizations of AC have been based on two approximations: i) fixing one- and…

化学物理 · 物理学 2023-02-15 Mikuláš Matoušek , Michał Hapka , Libor Veis , Katarzyna Pernal

The adiabatic connection curve of density functional theory (DFT) is accurately calculated beyond the physical interaction strength for Hooke's atom, two interacting electrons in a harmonic well potential. Extrapolation of the accurate…

化学物理 · 物理学 2007-05-23 R. J. Magyar , W. Terilla , K. Burke

The Adiabatic Connection Integrand Interpolation (ACII) method represents a general path for calculating correlation energies in electronic systems within the Den sity Functional Theory. ACII functionals include both exact-exchange and the…

材料科学 · 物理学 2024-03-13 Lucian A. Constantin , Szymon Śmiga , Fabio Della Sala

The adiabatic connection of density functional theory (DFT) for electronic systems is generalized here to negative values of the coupling strength $\alpha$ (with {\em attractive} electrons). In the extreme limit $\alpha\to-\infty$ a simple…

其他凝聚态物理 · 物理学 2015-05-14 Michael Seidl , Paola Gori-Giorgi

The incorporation of a strong interaction regime within the approximate, semilocal exchange-correlation functionals still remains a very challenging task for density functional theory. One of the promising attempts in this direction is the…

其他凝聚态物理 · 物理学 2023-09-20 Subrata Jana , Szymon Smiga , Lucian A. Constantin , Prasanjit Samal

We discuss energy densities in the strong-interaction limit of density functional theory, deriving an exact expression within the definition (gauge) of the electrostatic potential of the exchange-correlation hole. Exact results for small…

化学物理 · 物理学 2012-11-14 André Mirtschink , Michael Seidl , Paola Gori-Giorgi

As part of a project to obtain better optical response functions for nano materials and other systems with strong excitonic effects we here calculate the exchange-correlation (XC) potential of density-functional theory (DFT) at a level of…

其他凝聚态物理 · 物理学 2009-11-13 M. Hellgren , U. von Barth

In recent years, Adiabatic Connection Interpolations developed within Density Functional Theory (DFT) have been found to provide satisfactory performances in the calculation of interaction energies when used with Hartree-Fock (HF)…

化学物理 · 物理学 2023-07-21 Sara Giarrusso , Aurora Pribram-Jones

Using an accurate semi-analytic wavefunction for two electron atoms, we construct the external potential for varying strength of electron-electron (e-e) interaction. Using this potential we explicitly calculate the energy of their positive…

原子与分子团簇 · 物理学 2016-02-18 Rabeet Singh Chauhan , Manoj K. Harbola

We present a new method for realizing the adiabatic connection approach in density functional theory, which is based on combining accurate variational quantum Monte Carlo calculations with a constrained optimization of the ground state…

材料科学 · 物理学 2015-06-25 Maziar Nekovee , W. M. C. Foulkes , A. J. Williamson , G. Rajagopal , R. J. Needs

The adiabatic connection interaction strength interpolation (ISI)-like method provides a high-level expression for the correlation energy, being in principle exact in the weak-interaction limit, where it recovers the second-order…

化学物理 · 物理学 2023-09-29 Lucian A. Constantin , Subrata Jana , Szymon Śmiga , Fabio Della Sala

We study non-linear adiabatic connection paths in density-functional theory using modified electron-electron interactions that perform a long-range/short-range separation of the Coulomb interaction. These adiabatic connections allows to…

化学物理 · 物理学 2009-11-11 Julien Toulouse , Francois Colonna , Andreas Savin

The performance of functionals based on the idea of interpolating between the weak and the strong-interaction limits the global adiabatic-connection integrand is carefully studied for the challenging case of noble-metal clusters. Different…

化学物理 · 物理学 2018-04-18 S. Giarrusso , P. Gori-Giorgi , F. Della Sala , E. Fabiano

Strong correlation can be essentially captured with multireference wavefunction methods such as complete active space self-consistent field (CASSCF) or density matrix renormalization group (DMRG). Still, an accurate description of the…

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